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arXiv · 2501.16275

Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas

Mariam Al Khatib·Said Gounane·Noureddine Igbida·Ghadir Jradi
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Abstract

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must traverse a territory occupied by another (population $2$), necessitating strategies to mitigate overcrowding caused by spatial limitations. To capture these interactions, we model population $1$ using a linear transport equation, while population $2$ is described by a granular diffusion model a la sandpile to represent its internal dynamics and tendency to decongest. Through numerical simulations, we explore how different movement strategies of the traversing population (population $1$) - including directed motion towards a specific destination, internal dispersion to minimize crowding, and uniform dispersal across the space - affects the behavior of population $2$.

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Mariam Al Khatib, Said Gounane, Noureddine Igbida, Ghadir Jradi. 2025-01-27. Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas. https://arxiv.org/abs/2501.16275

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